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Title: Yang-Mills theories with chiral matter at strong coupling

Abstract

Strong coupling dynamics of Yang-Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address nonperturbative properties of chiral, nonsupersymmetric gauge theories, in particular, chiral quiver theories on S{sub 1}xR{sub 3}. Double-trace deformations are used to stabilize the center-symmetric vacuum. This allows one to smoothly connect small-r(S{sub 1}) to large-r(S{sub 1}) physics (R{sub 4} is the limiting case) where the double-trace deformations are switched off. In particular, the occurrence of the mass gap in the gauge sector and linear confinement due to bions are analytically demonstrated. We find the pattern of the chiral symmetry realization which depends on the structure of the monopole-ring operators, a novel class of topological excitations. The deformed chiral theory, unlike the undeformed one, satisfies volume independence down to arbitrarily small volumes (a working Eguchi-Kawai reduction) in the large N limit. This equivalence may open new perspectives on strong coupling chiral gauge theories on R{sub 4}.

Authors:
 [1];  [2]
  1. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
  2. SLAC, Stanford University, Menlo Park, California 94025 (United States)
Publication Date:
OSTI Identifier:
21296373
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.79.105010; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; CONFINEMENT; EXCITATION; FERMIONS; GAUGE INVARIANCE; MASS; MATTER; MONOPOLES; REDUCTION; STRONG-COUPLING MODEL; YANG-MILLS THEORY

Citation Formats

Shifman, M, Laboratoire de Physique Theorique, Universite de Paris-Sud XI, Batiment 210, F-91405 Orsay Cedex, Uensal, Mithat, and Physics Department, Stanford University, Stanford, California 94305. Yang-Mills theories with chiral matter at strong coupling. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.105010.
Shifman, M, Laboratoire de Physique Theorique, Universite de Paris-Sud XI, Batiment 210, F-91405 Orsay Cedex, Uensal, Mithat, & Physics Department, Stanford University, Stanford, California 94305. Yang-Mills theories with chiral matter at strong coupling. United States. https://doi.org/10.1103/PHYSREVD.79.105010
Shifman, M, Laboratoire de Physique Theorique, Universite de Paris-Sud XI, Batiment 210, F-91405 Orsay Cedex, Uensal, Mithat, and Physics Department, Stanford University, Stanford, California 94305. Fri . "Yang-Mills theories with chiral matter at strong coupling". United States. https://doi.org/10.1103/PHYSREVD.79.105010.
@article{osti_21296373,
title = {Yang-Mills theories with chiral matter at strong coupling},
author = {Shifman, M and Laboratoire de Physique Theorique, Universite de Paris-Sud XI, Batiment 210, F-91405 Orsay Cedex and Uensal, Mithat and Physics Department, Stanford University, Stanford, California 94305},
abstractNote = {Strong coupling dynamics of Yang-Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address nonperturbative properties of chiral, nonsupersymmetric gauge theories, in particular, chiral quiver theories on S{sub 1}xR{sub 3}. Double-trace deformations are used to stabilize the center-symmetric vacuum. This allows one to smoothly connect small-r(S{sub 1}) to large-r(S{sub 1}) physics (R{sub 4} is the limiting case) where the double-trace deformations are switched off. In particular, the occurrence of the mass gap in the gauge sector and linear confinement due to bions are analytically demonstrated. We find the pattern of the chiral symmetry realization which depends on the structure of the monopole-ring operators, a novel class of topological excitations. The deformed chiral theory, unlike the undeformed one, satisfies volume independence down to arbitrarily small volumes (a working Eguchi-Kawai reduction) in the large N limit. This equivalence may open new perspectives on strong coupling chiral gauge theories on R{sub 4}.},
doi = {10.1103/PHYSREVD.79.105010},
url = {https://www.osti.gov/biblio/21296373}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 79,
place = {United States},
year = {2009},
month = {5}
}